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Finding the Fourth Proportional to 9,726.66, 14,572.89 and 6,938.91

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Solution

The fourth proportional to 9,726.66, 14,572.89 and 6,938.91 is: 10,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.66 : 14,572.89 = 6,938.91 : x
  2. Step 2: Convert to fraction form
    9,726.66/14,572.89 = 6,938.91/x
  3. Step 3: Cross multiply
    9,726.66x = 14,572.89 × 6,938.91
  4. Step 4: Simplify right side
    9,726.66x = 101,119,972.15
  5. Step 5: Solve for x
    x = 101,119,972.15/9,726.66
  6. Step 6: Final answer
    x = 10,396.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.